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10434301224 = 2334353190769
BaseRepresentation
bin10011011011110111…
…01100110100101000
3222221011222102101220
421231323230310220
5132332140114344
64443215142040
7516400045164
oct115573546450
928834872356
1010434301224
114474988a46
122032514920
13ca397b749
1470dad5ca4
15411099c19
hex26deecd28

10434301224 has 64 divisors (see below), whose sum is σ = 27196171200. Its totient is φ = 3333098496.

The previous prime is 10434301133. The next prime is 10434301261. The reversal of 10434301224 is 42210343401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10434301194 and 10434301203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40689 + ... + 150080.

It is an arithmetic number, because the mean of its divisors is an integer number (424940175).

Almost surely, 210434301224 is an apocalyptic number.

It is an amenable number.

10434301224 is an abundant number, since it is smaller than the sum of its proper divisors (16761869976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10434301224 is a wasteful number, since it uses less digits than its factorization.

10434301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190874 (or 190870 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10434301224 its reverse (42210343401), we get a palindrome (52644644625).

The spelling of 10434301224 in words is "ten billion, four hundred thirty-four million, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 212 258 318 344 424 516 636 1032 1272 2279 4558 6837 9116 13674 18232 27348 54696 190769 381538 572307 763076 1144614 1526152 2289228 4578456 8203067 10110757 16406134 20221514 24609201 30332271 32812268 40443028 49218402 60664542 65624536 80886056 98436804 121329084 196873608 242658168 434762551 869525102 1304287653 1739050204 2608575306 3478100408 5217150612 10434301224